Ten years ago, Lisa bought a hair salon for 182000 dollars. She built up the business and it is now
worth nine times what she paid for it. She decides to sell half of the business to a friend, and they
become partners. Express the amount Lisa's friend must pay Lisa to buy half the business.
Answer: 819,000
Step-by-step explanation:
182000×9=1638000÷2=819000
Lisa's friend must pay Lisa $819,000 to become her partner in the business, half the worth of Lisa's business today.
What do we mean by the worth of an object?The worth of an object is the price of that object currently. The worth of almost every object in this world is variable (not fixed) with time and use.
How do we solve the given question?In the question, we are said that ten years ago, Lisa bought a hair salon for $182,000. Her business is now worth nine times what she paid.
∴ Worth of the business 10 years ago = $182,000.
Worth of the business now = 9*$182,000 = $1,638,000
We have been informed that Lisa has decided to sell half of her business to a friend. We are asked to find the amount her friend needs to pay, to become her partner.
As we have been told, she is selling half of her business, her friend will need to pay half of her business' worth at the present date.
∴ Her friend pays the amount = 1/2 * worth of the business now
or, Her friend pays the amount = 1/2 * $1,638,000
or, Her friend pays the amount = $819,000.
∴ Lisa's friend must pay Lisa $819,000 to become her partner in the business, half the worth of Lisa's business today.
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1. What are the opposite and absolute value of: a) 7.2 ____,____ b) -3.5 ____, ____ c) 5 ½ ____,____
Opposite value would be either changing from a positive to a negative or from a negative to a positive.
Absolute value is always a positive value
A) 7.2, -7.2, 7.2
B) -3.5, 3.5, 3.5
C) 5 1/2, -5 1/2, 5 1/2
Answer:
-7.2 7.2
3.5 3.5
-5 1/2 5 1/2
Step-by-step explanation:
An app developer projects that he will earn $20.00 for every 8 apps downloaded. Write
an equation to represent the proportional relationship between the number of apps and the total earnings
y = 2.5x
I hope this helps
The required equation is y=2.5x.
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
Given that,
Earning of app developer for 8 apps = $20.00
Earning of app developer for 1 app = $2.5
Earning of app developer for x app = $2.5x
Assume, earning of app developer for x app is y
So the equation,
Earning of app developer y=2.5x
The required equation is y=2.5x.
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Do you think it is true that any solution point to the equation y=1/2x+1 is a point on the line? Explain.
It is true..
I don't have an explanation.
Solve.
(12b^2 - 5)(4b^2 + 4)
what value of x will make the given triangles congruent?
Answer:
2
Step-by-step explanation:
Answer:
x = 10
Step-by-step explanation:
The hypotenuse of each of the triangles have to be equal
7x -5 = 4x+25
Subtract 4x from each side
7x -4x-5 = 4x+25-4x
3x -5 = 25
Add 5 to each side
3x-5+5 = 25+5
3x= 30
Divide by 3
3x/3 = 30/3
x = 10
The volume V of a pyramid is given by the formula V = Bh where B is the area of the base and h is the height
v = 216 cm
B - 36 cm
a. Solve the formula for h
b. Find the height of the pyramid
The height is
centimeters
Answer:
A. V/B=H B. The height, h, is 6 cm.
Step-by-step explanation:
A. Rearrange the formula V=Bh by dividing both sides by B to isolate h.
B. Plug in the Volume and Base into your rearranged formula to find the height. 216/36= h. h=6
a. The formula for height is h = V/B.
b. The height of the pyramid is 6 centimetres.
What is the total surface area of a given pyramid ?The total surface area of a pyramid is the surface area of the triangular sides in addition to the surface area of the triangular base.
According to the given question we have the volume of the pyramid which is 216 cm³ and base is also given which is 36 cm.
Given V = Bh
∴ h = V/B.
h = 216/36
h = 6 cm.
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In the diagram, $AB,$ $BC,$ $CD,$ $DE,$ $EF,$ $FG,$ $GH,$ and $HK$ all have length $4,$ and all angles are right angles, with the exception of the angles at $D$ and $F.$
If perpendicular $EM$ is drawn from $E$ to $DF$ (a close-up is shown below), and if $x$ is the length of $EM,$ then what is $x^2$?
Please help with hints! - no solutions -
If u give a full solution I will report u :P
Also, trolls just wanting to get the 50 points will be reported!
Thanks for the help in advance :)
Hint: There are some right angles here. What do right angles do in triangles?
Answer:
8
Step-by-step explanation:
Please see the attachment down below.
Hope this helped! :)
Stonebridge neighborhood garage sale have the cash receipts for 5 days:
$136.97
$256.21
$366.10
$176.04
$72.49
Answer:
$1,007.81
Step-by-step explanation:
A rectangular table is four times as long as it is wide. If the area is 36 ft2, find the length and the width of the table.
Answer:
The width is 3 ft
The length is 12 ft
Step-by-step explanation:
Let w = width
l = 4w
A = l*w
Replace length with 4w
A = 4w*w
36 = 4 w^2
Divide each side by 4
36/4 = 4w^2/4
9 = w^2
Take the square root of each side
sqrt(9) = sqrt(w)
3 =w
The width is 3 ft
The length is 4*3 = 12 ft
What is the domain and range of the function?
Answer:
Domain: (-∞,∞)
Range: (-∞,∞)
what is the area of the arrow shown?
what arrow i do not see any picture
Answer:
80 in
Step-by-step explanation:
A circular race track has a diameter of 120 ft.about how long would one lap of the track be
Answer:
The length of one lap of the track would be about 377 feet
Step-by-step explanation:
The length of any circular path is equal to the circumference of the circular pathThe circumference of a circle C = π d, where d is the lengths of its diameter∵ A circular race track has a diameter of 120 feet
→ That means the length of each lap equal the circumference of the track
∴ The length of one lap = C
∵ The diameter of the track is 120 feet
∴ d = 120 feet
∵ C = πd
∴ C = π(120)
→ Use π = 3.141
∴ C = (3.141)(120)
∴ C = 376.92 feet
→ Round it to the nearest whole number
∴ C ≅ 377 feet
∴ The length of one lap of the track would be about 377 feet
Select the correct answer.
Which statement is true about the y-intercept of a quadratic function?
ОА.
A quadratic function can only have one y-intercept.
OB.
A quadratic function can have up to two y-intercepts.
O c.
The y-intercept is also called a zero of the function.
OD
The y-intercept is located at the point where the value of y is 0.
Step-by-step explanation:
this is the answer .it is right or not
Find the distance between the two points rounding to the nearest tenth (if necessary).
(-2,-2) and (0,7).
Answer:
[tex]d = 9.2[/tex]
Step-by-step explanation:
Given
Points: (-2,-2) and (0,7)
Required
Determine the distance between them.
Distance is calculated as thus:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Where:
[tex](x_1,y_1) = (-2,-2)[/tex]
[tex](x_2,y_2) = (0,7)[/tex]
So, we have:
[tex]d = \sqrt{(0 - (-2))^2 + (7 - (-2))^2}[/tex]
[tex]d = \sqrt{(0 +2)^2 + (7 +2)^2}[/tex]
[tex]d = \sqrt{2^2 + 9^2}[/tex]
[tex]d = \sqrt{4 + 81}[/tex]
[tex]d = \sqrt{85}[/tex]
[tex]d = 9.2[/tex] --- Approximated
pls help! thank you:) I will make brainleist
Answer:
4x+1 = 3x-2
Step-by-step explanation:
4x+1=3x-2 subtract 3x and 1 from both sides
x= -3
Help. What is the slope of the line in the graph?
Hello,
As you have not provided the graph, I can teach you how to answer the question.
You are solving for the slope of the line. The slope can be found by using the following equation:
slope (signified by the variable m) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Note that the numbers does not exactly matter, only that what you set as variable [tex]x_1[/tex], the y inside that coordinate will also be [tex]y_1[/tex], and likewise for point 2.
For example, let us say your points for your line is (3 , 6) and (10 , 4)
Let:
[tex](x_1 , y_1)[/tex] [tex]= ( 3 , 6)[/tex]
[tex](x_2 , y_2) = (10 , 4)[/tex]
Plug in the corresponding numbers to the corresponding variables:
slope [tex]m = \frac{4 - 6}{10 - 3} = - \frac{2}{7}[/tex]
The given points will result in a [tex]-\frac{2 }{7}[/tex] slope.
Hope this helps!
Put is in order least to greatest. -13/6, -2.1, -26/13, -9/4
Answer:
-9/4, -13/6,-2.1,-26/13
Answer:
-26/13, -13/6, -2.1, -9/4
Step-by-step explanation:
Sorry its from greatest to least
Use the graph to determine which statement describes f(x).
Answer:
The statements are not provided, so let's do a complete description of f(x)
In the graph, we can see two asymptotes at x = 1.
This means that the denominator is equal to 0 when x = 1, then we can write:
f(x) = A/(x - 1)
Where we can start thinking that A is a constant.
Now we also can see that when x = 2, f(2) is equal to 1, or:
f(2) = 1.
Then:
f(2) = 1 = A/(2 - 1) = A/1
Then we have A = 1.
Then our function is:
f(x) = 1/(x - 1)
10c - cd + d (if c= -6 and d = 2)
Answer:
74
Step-by-step explanation:
Substitute the values of the variables into the equation. Good luck on your math journey!
WILL GIVE BRAINLIEST!! What are the slope and the y-intercept of the linear function that is represented by the graph?
On a coordinate plane, a line goes through points (0, 3) and (4, 0).
a
The slope is Negative four-thirds, and the y-intercept is 4.
b
The slope is Negative four-thirds, and the y-intercept is 3.
c
The slope is Negative three-fourths, and the y-intercept is 4.
d
The slope is Negative three-fourths, and the y-intercept is 3.
Answer:
its d
Step-by-step explanation:
y=-3/4+3 I think that's right
Answer:
D- i think because it wouldn't be 4/3 because you cant go over 4 and up three and the y-intrecept is 3
Please vote brainliest :)
plese help im in 2nd grade and this is really hard all the kids in my class know it but me
Answer:
This isn't in second gradee- x-x
Step-by-step explanation:
Answer: For x such that 0<x<(pie/2), the expression:
[square-root(1-cos^2(x)]/sinx + [square-root(1-sin^2(x)]/cos(x)
is equivalent to,
F. 0
G. 1
H. 2
J. -tan(x)
K. sin2x
The answer is H.
Step-by-step explanation:
f(x) = x^3 translate 3 units left translate 1 unit down
Answer:
the function would look like: f(x)=(x³+3)-1
the graph would literally look like the cubic parent graph, just shifted 3 left and 1 down
Which of the binomials below is a factor of this trinomial?
x² + 14x + 40
O AX-9
O B. 32 + 10
O C. X* 14
D. X+4.
Answer:
D. x + 4Step-by-step explanation:
Let's factor the trinomial:
x² + 14x + 40 = x² + 4x + 10x + 40 = x(x + 4) + 10(x + 4) = (x + 4)(x + 10)x + 4 is between the answer options
Correct option is D.
Leah borrows £10,000 over 5 years at a simple interest rate of 15%.
Calculate how much interest she will pay over the 5 years?
How much will Leah have to pay back in total
Answer:
She will pay $7,500 interest over the 5 years
She will have to pay back $17,500 in total
Step-by-step explanation:
Let us revise the rule of the simple interest
I = Prt and A = P(1 + rt) , where:
A = Total Accrued Amount (principal + interest) P = Principal Amount I = Interest Amount r = Rate of Interest per year in decimalt = Time Period involved in months or years∵ Leah borrows £10,000 over 5 years at a simple interest rate of 15%.
∴ P = 10,000
∴ t = 5
∴ r = 15% = [tex]\frac{15}{100}[/tex] = 0.15
→ Substitute them in the first rule to find the interest
∵ I = 10,000(0.15)(5)
∴ I = 7,500
∴ She will pay $7,500 interest over the 5 years
→ Let us find A
∵ A = 10,000(1 + 0.15×5)
∴ A = 17,500
∴ She will have to pay back $17,500 in total
There are 35 students in the drama club. 2 out of every 5 students in the club are boys. How many student clubs are boys?
Answer:
14
Step-by-step explanation:
PLEASE HELP IN BEING TIMED
Answer:
2 teams of 10
4 teams of 5
5 teams of 4
10 teams of 2
Hope this helps!
Answer:
A. 2 teams of 10
c. 4 tearms of 5
d. 5 teams of 4
F. 10 teams of 2
Step-by-step explanation:
Divide:
−54 ÷ −9 =
pls help llllllllllllllll
Answer:
Step-by-step explanation:
When you divide two negative numbers, the negative sign cancels. So you just get an answer of 6.
Answer:
6
Step-by-step explanation:
-54 / -9
ok so first of all we can just change them to positive
54 / 9
this is what goes on in my head
the 2 digits equal 9
a number times 9 is just that number less then that number times 10
54 / 9 = 6
-54 / -9 = 6
Find two consecutive whole numbers that 63 lies between.
Answer:
They are 62 and 64.
2. Describe the process used to solve an equation with variables on both sides.
Answer:
After simplifying, the first step in solving an equation with a variable on both sides is to Get The Variable On One Side. This is done by reversing the addition or subtraction of one of the terms with the variable. In other words, we must add to both sides or subtract from both sides one of the quantities that contains the variable. It is generally easier to add or to subtract the smaller quantity from the larger quantity, so we are working with positive coefficients, but either way works
